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Search: id:A087651
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| A087651 |
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Sequence of primorials P# (cf. A002110) such that j*P# has twin prime neighbors for some j with 0 < j < prime following P. |
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+0 4
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| 2, 6, 6, 6, 30, 30, 30, 30, 210, 210, 2310, 2310, 2310, 2310, 30030, 30030, 30030, 30030, 30030, 30030, 510510, 510510, 9699690, 223092870, 223092870, 223092870, 223092870, 223092870, 223092870, 223092870, 6469693230, 200560490130
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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I think I have found a proof that the sequence is infinite.
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EXAMPLE
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I have found the first 122 values of this sequence, 121 and 122 are 2557#, 2557# with j=303 and j=2307, 1087 and 1088 digits.
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CROSSREFS
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The j values are in A087730, P values are in A087731, i values are in A088676.
Cf. A002110, A086916, A087732.
Smaller of twin primes are in A087732. Number of digits in twin primes are in A086916.
Sequence in context: A161331 A120627 A089879 this_sequence A078579 A110936 A010591
Adjacent sequences: A087648 A087649 A087650 this_sequence A087652 A087653 A087654
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KEYWORD
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nonn
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AUTHOR
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Pierre CAMI (colettecami(AT)aol.com), Sep 28 2003
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EXTENSIONS
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Edited by Jud McCranie (judmccr(AT)bellsouth.net) and Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 05, 2003
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